Least Common Multiple (LCM) of 159 and 92
The least common multiple (LCM) of 159 and 92 is 14628.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 159 and 92?
First, calculate the GCD of 159 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 92 = 1 remainder 67 |
| 2 | 92 ÷ 67 = 1 remainder 25 |
| 3 | 67 ÷ 25 = 2 remainder 17 |
| 4 | 25 ÷ 17 = 1 remainder 8 |
| 5 | 17 ÷ 8 = 2 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 29 | 3683 |
| 159 and 174 | 9222 |
| 129 and 112 | 14448 |
| 58 and 117 | 6786 |
| 195 and 176 | 34320 |